OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 49, Iss. 18 — Jun. 20, 2010
  • pp: 3474–3484

Angular instability due to radiation pressure in the LIGO gravitational-wave detector

Eiichi Hirose, Keita Kawabe, Daniel Sigg, Rana Adhikari, and Peter R. Saulson  »View Author Affiliations


Applied Optics, Vol. 49, Issue 18, pp. 3474-3484 (2010)
http://dx.doi.org/10.1364/AO.49.003474


View Full Text Article

Enhanced HTML    Acrobat PDF (1803 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We observed the effect of radiation pressure on the angular sensing and control system of the Laser Interferometer Gravitational-Wave Observatory (LIGO) interferometer’s core optics at LIGO Hanford Observatory. This is the first measurement of this effect in a complete gravitational-wave interferometer. Only one of the two angular modes survives with feedback control, because the other mode is suppressed when the control gain is sufficiently large. We developed a mathematical model to understand the physics of the system. This model matches well with the dynamics that we observe.

© 2010 Optical Society of America

OCIS Codes
(000.2780) General : Gravity
(120.2230) Instrumentation, measurement, and metrology : Fabry-Perot
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(220.1140) Optical design and fabrication : Alignment

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: September 3, 2009
Revised Manuscript: December 10, 2009
Manuscript Accepted: May 10, 2010
Published: June 11, 2010

Citation
Eiichi Hirose, Keita Kawabe, Daniel Sigg, Rana Adhikari, and Peter R. Saulson, "Angular instability due to radiation pressure in the LIGO gravitational-wave detector," Appl. Opt. 49, 3474-3484 (2010)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-49-18-3474


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. B. C. Barish and R. Weiss, “LIGO and the detection of gravitational waves,” Phys. Today 52, 44–50 (1999). [CrossRef]
  2. B. P. Abbott, R. Abbott, R. Adhikari, P. Ajith, B. Allen, G. Allen, R. S. Amin, S. B. Anderson, W. G. Anderson, M. A. Arain, M. Araya, H. Armandula, P. Armor, Y. Aso, S. Aston, P. Aufmuth, C. Aulbert, S. Babak, P. Baker, S. Ballmer, C. Barker, D. Barker, B. Barr, P. Barriga, L. Barsotti, M. A. Barton, I. Bartos, R. Bassiri, M. Bastarrika, B. Behnke, M. Benacquista, J. Betzwieser, P. T. Beyersdorf, I. A. Bilenko, G. Billingsley, R. Biswas, E. Black, J. K. Blackburn, L. Blackburn, D. Blair, B. Bland, T. P. Bodiya, L. Bogue, R. Bork, V. Boschi, S. Bose, P. R. Brady, V. B. Braginsky, J. E. Brau, D. O. Bridges, M. Brinkmann, A. F. Brooks, D. A. Brown, A. Brummit, G. Brunet, A. Bullington, A. Buonanno, O. Burmeister, R. L. Byer, L. Cadonati, J. B. Camp, J. Cannizzo, K. C. Cannon, J. Cao, L. Cardenas, S. Caride, G. Castaldi, S. Caudill, M. Cavagli, C. Cepeda, T. Chalermsongsak, E. Chalkley, P. Charlton, S. Chatterji, S. Chelkowski, Y. Chen, N. Christensen, C. T. Y. Chung, D. Clark, J. Clark, J. H. Clayton, T. Cokelaer, C. N. Colacino, R. Conte, D. Cook, T. R. C. Corbitt, N. Cornish, D. Coward, D. C. Coyne, J. D. E. Creighton, T. D. Creighton, A. M. Cruise, R. M. Culter, A. Cumming, L. Cunningham, S. L. Danilishin, K. Danzmann, B. Daudert, G. Davies, E. J. Daw, D. DeBra, J. Degallaix, V. Dergachev, S. Desai, R. DeSalvo, S. Dhurandhar, M. Daz, A. Dietz, F. Donovan, K. L. Dooley, E. E. Doomes, R. W. P. Drever, J. Dueck, I. Duke, J.-C. Dumas, J. G. Dwyer, C. Echols, M. Edgar, A. Effler, P. Ehrens, E. Espinoza, T. Etzel, M. Evans, T. Evans, S. Fairhurst, Y. Faltas, Y. Fan, D. Fazi, H. Fehrmenn, L. S. Finn, K. Flasch, S. Foley, C. Forrest, N. Fotopoulos, A. Franzen, M. Frede, M. Frei, Z. Frei, A. Freise, R. Frey, T. Fricke, P. Fritschel, V. V. Frolov, M. Fyffe, V. Galdi, J. A. Garofoli, I. Gholami, J. A. Giaime, S. Giampanis, K. D. Giardina, K. Goda, E. Goetz, L. M. Goggin, G. Gonzlez, M. L. Gorodetsky, S. Goler, R. Gouaty, A. Grant, S. Gras, C. Gray, M. Gray, R. J. S. Greenhalgh, A. M. Gretarsson, F. Grimaldi, R. Grosso, H. Grote, S. Grunewald, M. Guenther, E. K. Gustafson, R. Gustafson, B. Hage, J. M. Hallam, D. Hammer, G. D. Hammond, C. Hanna, J. Hanson, J. Harms, G. M. Harry, I. W. Harry, E. D. Harstad, K. Haughian, K. Hayama, J. Heefner, I. S. Heng, A. Heptonstall, M. Hewitson, S. Hild, E. Hirose, D. Hoak, K. A. Hodge, K. Holt, D. J. Hosken, J. Hough, D. Hoyland, B. Hughey, S. H. Huttner, D. R. Ingram, T. Isogai, M. Ito, A. Ivanov, B. Johnson, W. W. Johnson, D. I. Jones, G. Jones, R. Jones, L. Ju, P. Kalmus, V. Kalogera, S. Kandhasamy, J. Kanner, D. Kasprzyk, E. Katsavounidis, K. Kawabe, S. Kawamura, F. Kawazoe, W. Kells, D. G. Keppel, A. Khalaidovski, F. Y. Khalili, R. Khan, E. Khazanov, P. King, J. S. Kissel, S. Klimenko, K. Kokeyama, V. Kondrashov, R. Kopparapu, S. Koranda, D. Kozak, B. Krishnan, R. Kumar, P. Kwee, P. K. Lam, M. Landry, B. Lantz, A. Lazzarini, H. Lei, M. Lei, N. Leindecker, I. Leonor, C. Li, H. Lin, P. E. Lindquist, T. B. Littenberg, N. A. Lockerbie, D. Lodhia, M. Longo, M. Lormand, P. Lu, M. Lubinski, A. Lucianetti, H. Lck, B. Machenschalk, M. MacInnis, M. Mageswaran, K. Mailand, I. Mandel, V. Mandic, S. Mrka, Z. Mrka, A. Markosyan, J. Markowitz, E. Maros, I. W. Martin, R. M. Martin, J. N. Marx, K. Mason, F. Matichard, L. Matone, R. A. Matzner, N. Mavalvala, R. McCarthy, D. E. McClelland, S. C. McGuire, M. McHugh, G. McIntyre, D. J. A. McKechan, K. McKenzie, M. Mehmet, A. Melatos, A. C. Melissinos, D. F. Menndez, G. Mendell, R. A. Mercer, S. Meshkov, C. Messenger, M. S. Meyer, J. Miller, J. Minelli, Y. Mino, V. P. Mitrofanov, G. Mitselmakher, R. Mittleman, O. Miyakawa, B. Moe, S. D. Mohanty, S. R. P. Mohapatra, G. Moreno, T. Morioka, K. Mors, K. Mossavi, C. MowLowry, G. Mueller, H. Miller-Ebhardt, D. Muhammad, S. Mukherjee, H. Mukhopadhyay, A. Mullavey, J. Munch, P. G. Murray, E. Myers, J. Myers, T. Nash, J. Nelson, G. Newton, A. Nishizawa, K. Numata, J. O’Dell, B. O’Reilly, R. O’Shaughnessy, E. Ochsner, G. H. Ogin, D. J. Ottaway, R. S. Ottens, H. Overmier, B. J. Owen, Y. Pan, C. Pankow, M. A. Papa, V. Parameshwaraiah, P. Patel, M. Pedraza, S. Penn, A. Perraca, V. Pierro, I. M. Pinto, M. Pitkin, H. J. Pletsch, M. V. Plissi, F. Postiglione, M. Principe, R. Prix, L. Prokhorov, O. Punken, V. Quetschke, F. J. Raab, D. S. Rabeling, H. Radkins, P. Raffai, Z. Raics, N. Rainer, M. Rakhmanov, V. Raymond, C. M. Reed, T. Reed, H. Rehbein, S. Reid, D. H. Reitze, R. Riesen, K. Riles, B. Rivera, P. Roberts, N. A. Robertson, C. Robinson, E. L. Robinson, S. Roddy, C. Rver, J. Rollins, J. D. Romano, J. H. Romie, S. Rowan, A. Rdiger, P. Russell, K. Ryan, S. Sakata, L. Sancho de la Jordana, V. Sandberg, V. Sannibale, L. Santamara, S. Saraf, P. Sarin, B. S. Sathyaprakash, S. Sato, M. Satterthwaite, P. R. Saulson, R. Savage, P. Savov, M. Scanlan, R. Schilling, R. Schnabel, R. Schofield, B. Schulz, B. F. Schutz, P. Schwinberg, J. Scott, S. M. Scott, A. C. Searle, B. Sears, F. Seifert, D. Sellers, A. S. Sengupta, A. Sergeev, B. Shapiro, P. Shawhan, D. H. Shoemaker, A. Sibley, X. Siemens, D. Sigg, S. Sinha, A. M. Sintes, B. J. J. Slagmolen, J. Slutsky, J. R. Smith, M. R. Smith, N. D. Smith, K. Somiya, B. Sorazu, A. Stein, L. C. Stein, S. Steplewski, A. Stochino, R. Stone, K. A. Strain, S. Strigin, A. Stroeer, A. L. Stuver, T. Z. Summerscales, K.-X. Sun, M. Sung, P. J. Sutton, G. P. Szokoly, D. Talukder, L. Tang, D. B. Tanner, S. P. Tarabrin, J. R. Taylor, R. Taylor, J. Thacker, K. A. Thorne, A. Thring, K. V. Tokmakov, C. Torres, C. Torrie, G. Traylor, M. Trias, D. Ugolini, J. Ulmen, K. Urbanek, H. Vahlbruch, M. Vallisneri, C. Van Den Broeck, M. V. van der Sluys, A. A. van Veggel, S. Vass, R. Vaulin, A. Vecchio, J. Veitch, P. Veitch, C. Veltkamp, A. Villar, C. Vorvick, S. P. Vyachanin, S. J. Waldman, L. Wallace, R. L. Ward, A. Weidner, M. Weinert, A. J. Weinstein, R. Weiss, L. Wen, S. Wen, K. Wette, J. T. Whelan, S. E. Whitcomb, B. F. Whiting, C. Wilkinson, P. A. Willems, H. R. Williams, L. Williams, B. Willke, I. Wilmut, L. Winkelmann, W. Winkler, C. C. Wipf, A. G. Wiseman, G. Woan, R. Wooley, J. Worden, W. Wu, I. Yakushin, H. Yamamoto, Z. Yan, S. Yoshida, M. Zanolin, J. Zhang, L. Zhang, C. Zhao, N. Zotov, M. E. Zucker, H. zur Mhlen, and J. Zweizig, “LIGO: the laser interferometer gravitational-wave observatory,” Rep. Prog. Phys. 72, 076901(2009). [CrossRef]
  3. S. J. Waldman and the LIGO Scientific Collaboration, “Status of LIGO at the start of the fifth science run,” Class. Quantum Grav. 23, S653–S660 (2006). [CrossRef]
  4. D. Sigg and the LIGO Scientific Collaboration, “Status of the LIGO detectors,” Class. Quantum Grav. 23, S51–S56 (2006). [CrossRef]
  5. Keita Kawabe and the LIGO Scientific Collaboration), “Status of LIGO,” J. Phys. 120, 032003 (2008). [CrossRef]
  6. H. Grote and the LIGO Scientific Collaboration “The status of GEO 600,” Class. Quantum Grav. 25, 114043 (2008). [CrossRef]
  7. F. Acernese, M. Alshourbagy, P. Amico, F. Antonucci, S. Aoudia, P. Astone, S. Avino, L. Baggio, G. Ballardin, F. Barone, L. Barsotti, M. Barsuglia, T. S. Bauer, S. Bigotta, S. Birindelli, M. A. Bizouard, C. Boccara, F. Bondu, L. Bosi, S. Braccini, C. Bradaschia, A. Brillet, V. Brisson, D. Buskulic, G. Cagnoli, E. Calloni, E. Campagna, F. Carbognani, F. Cavalier, R. Cavalieri, G. Cella, E. Cesarini, E. Chassande-Mottin, A.-C. Clapson, F. Cleva, E. Coccia, C. Corda, A. Corsi, F. Cottone, J.-P. Coulon, E. Cuoco, S. D. Antonio, A. Dari, V. Dattilo, M. Davier, R. De Rosa, M. Del Prete, L. Di Fiore, A. Di Lieto, M. Di Paolo Emilio, A. Di Virgilio, M. Evans, V. Fafone, I. Ferrante, F. Fidecaro, I. Fiori, R. Flaminio, J.-D. Fournier, S. Frasca, F. Frasconi, L. Gammaitoni, F. Garufi, E. Genin, A. Gennai, A. Giazotto, L. Giordano, V. Granata, C. Greverie, D. Grosjean, G. Guidi, S. Hamdani, S. Hebri, H. Heitmann, P. Hello, D. Huet, S. Kreckelbergh, P. La Penna, M. Laval, N. Leroy, N. Letendre, B. Lopez, M. Lorenzini, V. Loriette, G. Losurdo, J.-M. Mackowski, E. Majorana, C. N. Man, M. Mantovani, F. Marchesoni, F. Marion, J. Marque, F. Martelli, A. Masserot, F. Menzinger, L. Milano, Y. Minenkov, C. Moins, J. Moreau, N. Morgado, S. Mosca, B. Mours, I. Neri, F. Nocera, G. Pagliaroli, C. Palomba, F. Paoletti, S. Pardi, A. Pasqualetti, R. Passaquieti, D. Passuello, F. Piergiovanni, L. Pinard, R. Poggiani, M. Punturo, P. Puppo, P. Rapagnani, T. Regimbau, A. Remillieux, F. Ricci, I. Ricciardi, A. Rocchi, L. Rolland, R. Romano, P. Ruggi, G. Russo, S. Solimeno, A. Spallicci, M. Tarallo, R. Terenzi, A. Toncelli, M. Tonelli, E. Tournefier, F. Travasso, C. Tremola, G. Vajente, J. F. J. van den Brand, S. van der Putten, D. Verkindt, F. Vetrano, A. Vicer, J.-Y. Vinet, H. Vocca, and M. Yvert, “VIRGO status,” Class. Quantum Grav. 25, 184001 (2008). [CrossRef]
  8. “Advanced LIGO reference design,” LIGO Tech. Rep. M060056 (Laser Interferometer Gravitational-Wave Observatory, 2007)
  9. R. W. P. Drever, J. Hough, A. J. Munley, S.-A. Lee, R. Spero, S. E. Whitcomb, H. Ward, G. M. Ford, M. Hereld, N. A. Robertson, I. Kerr, J. R. Pugh, G. P. Newton, B. Meers, E. D. Brook III, and Y. Gursel, “Gravitational wave detectors using laser interferometers and optical cavities,” Quantum Optics, Experimental Gravitation and Measurement Theory, P.Meystre and M.O.Scully, eds. (Plenum, 1983), pp. 503–524.
  10. T. Corbitt, D. Ottaway, E. Innerhofer, J. Pelc, and N. Mavalvala, “Measurement of radiation-pressure-induced optomechanical dynamics in a suspended Fabry–Perot cavity,” Phys. Rev. A 74, 021802(R) (2006). [CrossRef]
  11. J. A. Sidles and D. Sigg, “Optical torques in suspended Fabry–Perot interferometers,” Phys. Lett. A 354, 167–172(2006). [CrossRef]
  12. S. Solimeno, F. Barone, C. De Lisio, L. Di Fiore, L. Milano, and G. Russo, “Fabry–Perot resonators with oscillating mirrors,” Phys. Rev. A 43, 6227–6240 (1991). [CrossRef] [PubMed]
  13. MathWorks, MATLAB and Simulink.
  14. P. Fritschel, G. González, N. Mavalvala, D. Shoemaker, D. Sigg, and M. Zucker, “Alignment of an interferometric gravitational wave detector,” Appl. Opt. 37, 6734–6747(1998). [CrossRef]
  15. Y. Hefetz, N. Mavalvala, and D. Sigg, “Principles of calculating alignment signals in complex resonant optical interferometers,” J. Opt. Soc. Am. B 14, 1597–1605 (1997). [CrossRef]
  16. D. Sigg and N. Mavalvala, “Principles of calculating the dynamical response of misaligned complex resonant optical interferometers,” J. Opt. Soc. Am. A 17, 1642–1649(2000). [CrossRef]
  17. P. Fritschel, R. Bork, G. González, N. Mavalvala, D. Ouimette, H. Rong, D. Sigg, and M. Zucker, “Readout and control of a power-recycled interferometric gravitational-wave antenna,” Appl. Opt. 40, 4988–4998 (2001). [CrossRef]
  18. D. Z. Anderson, “Alignment of resonant optical cavities,” Appl. Opt. 23, 2944–2949 (1984). [CrossRef] [PubMed]
  19. E. Morrison, B. J. Meers, D. I. Robertson, and H. Ward, “Automatic alignment of optical interferometers,” Appl. Opt. 33, 5041–5049 (1994). [CrossRef] [PubMed]
  20. S. Kawamura and M. E. Zucker, “Mirror-orientation noise in a Fabry–Perot interferometer gravitational wave detector,” Appl. Opt. 33, 3912–3918 (1994). [CrossRef] [PubMed]
  21. E. Hirose and K. Kawabe, “A study of radiation pressure effect on ASC in H1 and H2,” LIGO-G070118-00-Z (Laser Interferometer Gravitational-Wave Observatory, 2007)
  22. L. Barsotti and M. Evans, “Modeling of alignment sensing and control for enhanced LIGO,” LIGO-T080186-01-I (Laser Interferometer Gravitational-Wave Observatory, 2008).
  23. S. Sakata, “A study of angular instability due to radiation pressure in LIGO gravitational wave detector,” Ph.D. thesis (Ochanomizu University, 2008).
  24. Y. Fan, L. Merrill, C. Zhao, L. Ju, D. Blair, B. Slagmolen, D. Hosken, A. Brooks, P. Veitch, D. Mudge, and J. Munch, “Observation of optical torsional stiffness in a high optical power cavity,” Appl. Phys. Lett. 94, 081105 (2009). [CrossRef]